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29864256 = 2631091427
BaseRepresentation
bin111000111101…
…1000101000000
32002012021001120
41301323011000
530121124011
62544032240
7511561542
oct161730500
962167046
1029864256
1115948504
12a002680
136258276
143d75692
15294da06
hex1c7b140

29864256 has 56 divisors (see below), whose sum is σ = 79796640. Its totient is φ = 9856512.

The previous prime is 29864251. The next prime is 29864267. The reversal of 29864256 is 65246892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29864251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20215 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (1424940).

Almost surely, 229864256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898320).

29864256 is an abundant number, since it is smaller than the sum of its proper divisors (49932384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29864256 is a wasteful number, since it uses less digits than its factorization.

29864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1541 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 29864256 is about 5464.8198506447. The cubic root of 29864256 is about 310.2538884372.

The spelling of 29864256 in words is "twenty-nine million, eight hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1427 1744 2616 2854 3488 4281 5232 5708 6976 8562 10464 11416 17124 20928 22832 34248 45664 68496 91328 136992 155543 273984 311086 466629 622172 933258 1244344 1866516 2488688 3733032 4977376 7466064 9954752 14932128 29864256